Geodesic
On the asymptotic normality of the number of empty cells in a~scheme of group allocation of particles
Diskretnaya Matematika, Tome 26 (2014) no. 3, pp. 136-143.

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V. P. Chistyakov. On the asymptotic normality of the number of empty cells in a~scheme of group allocation of particles. Diskretnaya Matematika, Tome 26 (2014) no. 3, pp. 136-143. http://geodesic.mathdoc.fr/item/DM_2014_26_3_a11/

[1] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Sluchainye razmescheniya, Nauka, Moskva, 1976 | MR | Zbl

[2] Mikhailov V. G., “Skhodimost k mnogomernomu normalnomu zakonu v ravnoveroyatnoi skheme razmescheniya chastits komplektami”, Matem. sb., 111(153):2 (1980), 163–186 | MR | Zbl

[3] Zhukov E. A., Chistyakov V. P., “O skhemakh razmescheniya komplektov, approksimiruemykh polinomialnoi skhemoi”, Matem. zametki, 25:3 (1979), 455–463 | MR | Zbl

[4] Tikhomirova M. I., Chistyakov V. P., “Ob asimptotike momentov chisla nepoyavivshikhsya $s$-tsepochek”, Diskr. matem., 9:1 (1997), 12–29 | DOI | MR | Zbl

[5] Tikhomirova M. I., Chistyakov V. P., “Asimptoticheskaya normalnost chisla nepoyavivshikhsya znachenii $m$-zavisimykh sluchainykh velichin”, Matem. voprosy kriptografii, 2:1 (2011), 119–129

[6] Tikhomirova M. I., “Asimptoticheskaya normalnost chisla nepoyavivshikhsya nesploshnykh iskhodov nezavisimykh ispytanii”, Diskr. matem., 21:2 (2009), 112–125 | DOI | MR | Zbl

[7] Janson S., “Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs”, Ann. Probab., 16:1 (1988), 305–312 | DOI | MR | Zbl

[8] Mikhailov V. G., “Ob odnoi teoreme Yansona”, Teoriya veroyatn. i primen., 36:1 (1991), 168–170 | MR | Zbl

[9] Sachkov V. N., “Sluchainye neravnoveroyatnye pokrytiya i funktsionalnye uravneniya”, Trudy po diskretnoi matematike, 5, Fizmatlit, Moskva, 2002, 205–218

[10] Mikhailov V. G., “Otsenka tochnosti puassonovskoi approksimatsii dlya chisla pustykh yacheek pri razmeschenii chastits komplektami”, Trudy MIAN, 282, 2013, 165–180 | Zbl

[11] Vatutin V. A., Mikhailov V. G., “Predelnye teoremy dlya chisla pustykh yacheek v ravnoveroyatnoi skheme razmescheniya chastits komplektami”, Teoriya veroyatn. i primen., 27:4 (1982), 684–692 | MR | Zbl